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Finding the Fourth Proportional to 14,322.72, 19,773.58 and 9,541.38

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Solution

The fourth proportional to 14,322.72, 19,773.58 and 9,541.38 is: 13,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.72 : 19,773.58 = 9,541.38 : x
  2. Step 2: Convert to fraction form
    14,322.72/19,773.58 = 9,541.38/x
  3. Step 3: Cross multiply
    14,322.72x = 19,773.58 × 9,541.38
  4. Step 4: Simplify right side
    14,322.72x = 188,667,240.74
  5. Step 5: Solve for x
    x = 188,667,240.74/14,322.72
  6. Step 6: Final answer
    x = 13,172.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.